Finding the Third Proportional to 12,983 and 20,082
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Solution
The third proportional to 12,983 and 20,082 is: 31,062.68
Step by Step Solution
- Step 1: Write the proportion equation
12,983 : 20,082 = 20,082 : x - Step 2: Convert to fraction form
12,983/20,082 = 20,082/x - Step 3: Cross multiply
12,983x = 20,082 × 20,082 - Step 4: Simplify right side
12,983x = 403,286,724 - Step 5: Solve for x
x = 403,286,724/12,983 - Step 6: Final answer
x = 31,062.68
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.